Underrated factoring tip

one of the most underrated factoring tips is to look for perfect square trinomials so a lot of times students will look at a factoring problem like this and they immediately just say oh crap a is not equal to one now I got to go through this AC method box method and whatever type of videos they were trying to remember from their notes on how to factor something like this but the main thing I want you to look at is or think about whenever you're dealing with a factoring problem especially when your a is not equal to one is to look for those perfect trinomials whenever my first term is a square number and my last term is a square number then think perfect square trinomials the form of a perfect stomal is like this so can I rewrite a 4x^2 in terms of a squ yeah you can rewrite it like a 2x^2 can I rewrite 9 as a b^ s yes that can be as a 3^ squ now is my 2 * a * B going to give me a -2X in this case so if I did a 2 * a 2X * a 3 well you can see 2 * 2 is going to be 4 4X * 3 is going to give us a 12x so guess what ladies and gentlemen ding ding ding we can now Factor this using perfect square trinomials not doing any crazy factoring technique so what is the factored form when you have a perfect square trinomial well it's just going to be the binomial squared a minus B so in this case if I already know my a and I already know my B the factored form is a 2x - 3